On a certain hot summer's day, 552 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled How many children and how many adults swam at the public pool that day?

Call the number of children

c

and adults

a

you have:

c

+

a

=

481

and

1.25

c

+

2.25

a

=

865.25

Try to solve this system to find

c

and

a

.

practice. practice. practice.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752